Finding the Third Proportional to 164,704 and 360,256

Step by Step Solution

1. Step 1: Write the proportion equation
   164,704 : 360,256 = 360,256 : x
2. Step 2: Convert to fraction form
   164,704/360,256 = 360,256/x
3. Step 3: Cross multiply
   164,704x = 360,256 × 360,256
4. Step 4: Simplify right side
   164,704x = 129,784,385,536
5. Step 5: Solve for x
   x = 129,784,385,536/164,704
6. Step 6: Final answer
   x = 787,985.63